An introduction on the time-fractional diffusion equation and its numerical solution

发布时间：2018-05-15 来源：赢咖3 浏览次数：

Speaker:	周知教授	DateTime:	2018年5月15日（周二）晚上7:00-8:00
Brief Introduction to Speaker: 周知，香港理工大学数学系教授。		Place:	六号楼二楼报告厅
Abstract:The time-fractional diffusion, which has received much attention in recent years, describes a diffusion process in which the mean square displacement of a particle grows slower (subdiffusion) than that in the normal diffusion process. The solution of the fractional diffusion often exhibits a singular layer, provided that the source data is not compatible with the initial data, which makes the numerical treatment and analysis challenging. We develop a systematic strategy to the starting k-1 steps in order to restore the desired kth-order convergence rate of the k-step BDF convolution quadrature for the time-fractional equations. The desired kth-order convergence rate can be achieved even if the solution is nonsmooth.